Answered

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A children's roller coaster is released from the top of a track. If its maximum speed at ground level is 3 m/s, find the height it was released from.

Sagot :

hamzaahmeds

Answer:

h = 0.46 m

Explanation:

According to the law of conservation of energy:

Potential Energy Lost by Roller Coaster = Kinetic Energy Gained by Roller Coaster

[tex]mgh = \frac{1}{2}mv^2\\\\2gh = v^2\\\\h = \frac{v^2}{2g}[/tex]

where,

h = height = ?

v = speed at bottom = 3 m/s

g = acceleration due to gravity = 9.81 m/s²

Therefore,

[tex]h = \frac{(3\ m/s)^2}{(2)(9.81\ m/s^2)}[/tex]

h = 0.46 m

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